Analysis of the inverse Born series: an approach through geometric function theory

Abstract

We analyze the convergence and approximation error of the inverse Born series, obtaining results that hold under qualitatively weaker conditions than previously known. Our approach makes use of tools from geometric function theory in Banach spaces. An application to the inverse scattering problem with diffuse waves is described.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 30, 2022
Source ID
10.1088/1361-6420/ac661f

Entities

People

  • Jeremy G. Hoskins
  • John C. Schotland

Organizations

  • Air Force Office of Scientific Research
  • National Science Foundation

Tags

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.

Technology Areas

  • Space